A Novel Fast and Flexible Holomorphic Embedding Power Flow Method

Chiang, Hsiao‐Dong; Wang, Tao; Sheng, Hao

doi:10.1109/tpwrs.2017.2750711

Cited by 63 publications

(32 citation statements)

References 24 publications

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“…In addition to the models of electric compressors and pumps in Eqs. (5)-(6) and (13), an three line model of CHPs is adopted in this paper, which takes into account the changes of the power production at part load operation [27], details are shown in (14)- (17). Moreover, models of GBs in Eq.…”

Section: Coupling Unitsmentioning

confidence: 99%

“…First, the active load balance for electricity systems can be formulated as: In electricity systems, with the given (ϕ C hs , P p , P comp ), the value of P loss can be obtained by solving electrical models (1)-(2) and (14), and this relationship can be formulated by: In the heating system, with the given P C es , the value of ϕ C hs and P p can be obtained by solving heating models (7)- (13), and these relationships can be formulated as equations (A6) and (A7), respectively. In the natural gas system, with the given (P C es , ϕ C hs ), the value of P comp can be obtained by solving gas models (3)-(6) and (14), and this relationship can be formulated as equations (A8).…”

Section: B Structure Of (32)mentioning

confidence: 99%

See 1 more Smart Citation

A Fixed-Point Based Distributed Method for Energy Flow Calculation in Multi-Energy Systems

Zhang

Meng

et al. 2020

IEEE Trans. Sustain. Energy

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Energy flow calculation (EFC) plays an important role in steady-state analysis of multi-energy systems (MESs). However, the independent management of sub-energy systems (subsystems) poses a considerable challenge to solve the high-order nonlinear energy flow model due to the limited information exchange between these subsystems. In this paper, a fixed-point based distributed method is proposed for EFC in an electricity-gas-heating system. Firstly, the mathematical modeling of each subsystem with coupling units is introduced. Then, two information exchange structures among subsystems are presented as sequential and parallel structures. Based on the fixed-point theorem, novel distributed sequential and parallel methods for EFC are proposed to calculate energy flow distribution in MESs. In our proposed method, the EFC in subsystems is implemented by the individual system operators, with limited information exchange between subsystems. Therefore, the information privacy of subsystems can be preserved in this solution process. Moreover, the convergence of the proposed method is guaranteed, and the sufficient conditions for the convergence are presented. Lastly, simulations on a MES demonstrate the effectiveness of the proposed method and the quantified superiority over the existing methods in computation time, accuracy and reliability. 1 Index Terms-Distributed method, energy flow calculation, fixed-point, high-order nonlinear equation, multi-energy system. i The active and reactive loads at bus i. P lossThe power loss of whole networks. ∆P i , ∆Q i Active and reactive power mismatches at bus i.

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Section: Coupling Unitsmentioning

confidence: 99%

Section: B Structure Of (32)mentioning

confidence: 99%

A Fixed-Point Based Distributed Method for Energy Flow Calculation in Multi-Energy Systems

Zhang

Meng

et al. 2020

IEEE Trans. Sustain. Energy

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“…Accordingly, this paper employs the novel Holomorphic Embedding (HE) method for solving the electrical power flow and lesscomputational graph theory method for solving the heat power flow. The HE is a novel non-iterative approach to solve the electrical power flow problems [20]. Unlike iterative methods such as Gauss-Seidel and Newton-Raphson, the implementation of the HE guarantees to find the operational solution when it to be existed.…”

Section: 𝑔𝑔𝑖𝑖mentioning

confidence: 99%

“…Then, a set of linear equations is attained that should be solved for all buses. The following equations explain the HE solution procedure for power flow analysis of all electrical nodes [20], [28].…”

Section: B Holomorphic Embedding Power Flowmentioning

confidence: 99%

Fast Decomposed Energy Flow in Large-Scale Integrated Electricity–Gas–Heat Energy Systems

Massrur

Niknam

Aghaei

et al. 2018

IEEE Trans. Sustain. Energy

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In this paper, a new decomposing strategy is proposed to solve the power flow problem in the large-scale Multi-Energy Carrier (MEC) systems, including gas, electrical and heating sub-networks. This strategy has been equipped with a novel non-iterative method named Holomorphic Embedding (HE) to solve the energy flow of the electrical sub-network. Moreover, it benefits from the less-computational graph method for solving the energy flows of the heating sub-network. The HE method unlike initial-guess iterative methods guarantees to find power flow solution if there is a solution. In addition, it finds only the operational power flow solution without concern about the convergence of the solution. In the proposed strategy, the decomposing method decouples various energy flows of subnetworks without losing the major benefits of the simultaneous analysis of the sub-networks and losing accuracy. Moreover, the proposed decomposing strategy has more reliability and faster than the Newton-Raphson technique. In order to demonstrate the efficiency and superiority of the proposed decomposing strategy on solving the large-scale MEC systems, the strategy is tested on three large-scale multi-energy carrier case studies.

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“…Compared with step-by-step NR-based continuation flow methods, HELM is capable of calculating the load flow under different load scales simultaneously [13] [14], instead of step by step, which speeds up voltage stability. Moreover, the initial point of HELM is not necessarily10  , and it is applicable to large-scale transmission networks [15].…”

Section: A Related Workmentioning

confidence: 99%

Holomorphic Embedding Load Flow Modeling of the Three-phase Active Distribution Network

Ju¹

2018

Preprint

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With large-scale distributed generators (DGs) in an active distribution network (ADN), conventional load flow convergence failure is incurred by heavy power transmission. The Holomorphic Embedding Load Flow Method (HELM) has proven to be more robust than the Newton–Raphson method under heavy power transmission. At present, HELM is mainly designed for balanced transmission networks. In this study, we developed a three-phase HELM model to accommodate DGs, delta connection loads, and ZIP loads for ADN. The effectiveness and better performance of the proposed method under heavy load situations were validated using modified unbalanced IEEE 13, 34, 37, and 123 test feeders.

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A Novel Fast and Flexible Holomorphic Embedding Power Flow Method

Cited by 63 publications

References 24 publications

A Fixed-Point Based Distributed Method for Energy Flow Calculation in Multi-Energy Systems

A Fixed-Point Based Distributed Method for Energy Flow Calculation in Multi-Energy Systems

Fast Decomposed Energy Flow in Large-Scale Integrated Electricity–Gas–Heat Energy Systems

Holomorphic Embedding Load Flow Modeling of the Three-phase Active Distribution Network

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